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Yuuu · Answer 1 · 2023-03-28T11:58:58+0000

A. 4 mm

Step-by-step explanation

the volume of a cylinder is given by:

$Volume=\pi r^2h$

so

Step 1

a)let

$\begin{gathered} Volume=502.4\text{ mm}^3 \\ height=10\text{ mm} \end{gathered}$

b) now, replace in the formula and solve for r

$\begin{gathered} Volume=\pi r^2h \\ 502.4\text{ mm}^3=\pi r^2(10\text{ mm\rparen} \\ divide\text{ both sides by 10 mm} \\ \frac{502.4(mm)^3}{10\text{ mm}}=\frac{\text{ }\pi r^2(10mm\operatorname{\rparen}}{10\text{ mm}} \\ 50.24\text{ mm}^2=\pi r^2 \\ divide\text{ both sides by }\pi \\ (50.24(mm)^2)/(\pi)=\pi(r^2)/(\pi) \\ 15.99\text{ mm}^2=r^2 \\ square\text{ root in both sides} \\ √(15.99(mm)^2)=√(r^2) \\ 3.99\text{ mm}=r \\ r=4\text{ mm} \end{gathered}$

so, the radius is

A. 4 mm

I hope this helps you

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